Cousin's theorem: Difference between revisions

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'''Slowness (s)''' is a quantity introduced in [[Seismology]] which is the [[Multiplicative inverse|reciprocal]] of [[velocity]]. Thus travel time of a wave is the distance that the wave travels times the slowness of the medium ( in seismology, it refers to different layers of [[Earth]] exhibiting different [[Density|densities]])
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Thus,
 
Slowness = 1/Velocity
 
If we divide the path followed by the ray into N segments numbered  i = 1, 2 .. N the total travel time of the [[wave]] is
 
<math>\Gamma = \sum_{i = 1}^{N} s_{i} \Delta x_{i}</math>  
 
Therefore, the residual [[travel]] time is due to departures in slowness experienced by the wave along the raypath.
 
== References ==
{{Reflist}}
 
== External links ==
* [http://bssa.geoscienceworld.org/cgi/content/abstract/74/1/97]
* [http://books.google.co.uk/books?id=Kf8fyvRd280C&pg=PA137&lpg=PA137&dq=slowness+seismology&source=bl&ots=orBwDYU2YU&sig=NNs9E1jza05awOlqOGyKwp52GDA&hl=en&ei=4uJ8S6_hGoX20gT8uaTLBQ&sa=X&oi=book_result&ct=result&resnum=5&ved=0CBYQ6AEwBA#v=onepage&q=slowness%20seismology&f=false]
 
{{DEFAULTSORT:Slowness (Seismology)}}
[[Category:Seismology]]

Latest revision as of 11:08, 15 May 2014

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